413074399 has 16 divisors (see below), whose sum is σ = 431907840. Its totient is φ = 394757280.

The previous prime is 413074373. The next prime is 413074427. The reversal of 413074399 is 993470314.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 413074399 - 2⁵ = 413074367 is a prime.

It is a super-2 number, since 2×413074399² = 341260918218422402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413074799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501502 + ... + 502324.

It is an arithmetic number, because the mean of its divisors is an integer number (26994240).

Almost surely, 2^413074399 is an apocalyptic number.

413074399 is a deficient number, since it is larger than the sum of its proper divisors (18833441).

413074399 is a wasteful number, since it uses less digits than its factorization.

413074399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 413074399 is about 20324.2318182016. The cubic root of 413074399 is about 744.7481388171.

The spelling of 413074399 in words is "four hundred thirteen million, seventy-four thousand, three hundred ninety-nine".